Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group

In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0...

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Bibliographic Details
Main Authors: Peterson Gary L.
Scott Stuart D.
Format: Article
Published: 2018
Series:Acta scientiarum mathematicarum 84 No. 3-4
Kulcsszavak:Algebrai kongruencia, Matematika
doi:10.14232/actasm-017-299-9

Online Access:http://acta.bibl.u-szeged.hu/56921
Description
Summary:In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0(V ) of hV, +, Fi is finite. We then go on to obtain further consequences of this result.
Physical Description:401-411
ISSN:0001-6969